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Finding the Fourth Proportional to 1,310,494.60, 1,965,741.90 and 777,741.40

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Solution

The fourth proportional to 1,310,494.60, 1,965,741.90 and 777,741.40 is: 1,166,612.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310,494.60 : 1,965,741.90 = 777,741.40 : x
  2. Step 2: Convert to fraction form
    1,310,494.60/1,965,741.90 = 777,741.40/x
  3. Step 3: Cross multiply
    1,310,494.60x = 1,965,741.90 × 777,741.40
  4. Step 4: Simplify right side
    1,310,494.60x = 1,528,838,857,344.66
  5. Step 5: Solve for x
    x = 1,528,838,857,344.66/1,310,494.60
  6. Step 6: Final answer
    x = 1,166,612.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.